Least Common Multiple

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Find the *Least Common Multiple* (LCM) of the numbers 675 and 2.

**Answer**

$675=({3}^{3})({5}^{2})$

$2=(2)$

The LCM of 675 and 2 is the product of the largest powers of each prime factor in both.

Thus the LCM of 675 and 2

$=(2)({3}^{3})({5}^{2})$

$=1350$